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Pressure Ratio having High Mach Number with Similarity Constant Formula

GoPressure Ratio for High Mach Number Formula

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Pressure Ratio is ratio of final to initial pressure. Check FAQs

r p = {(1 - (\frac{Y - 1}{2}) \cdot K)}^{2 \cdot \frac{Y}{Y - 1}}

r_p - Pressure Ratio?Y - Specific Heat Ratio?K - Hypersonic Similarity Parameter?

Pressure Ratio having High Mach Number with Similarity Constant Example

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Here is how the Pressure Ratio having High Mach Number with Similarity Constant equation looks like with Values.

Here is how the Pressure Ratio having High Mach Number with Similarity Constant equation looks like with Units.

Here is how the Pressure Ratio having High Mach Number with Similarity Constant equation looks like.

0.0075 = {(1 - (\frac{1.6 - 1}{2}) \cdot 2)}^{2 \cdot \frac{1.6}{1.6 - 1}}

0.0075 = {(1 - (\frac{1.6 - 1}{2}) \cdot 2rad)}^{2 \cdot \frac{1.6}{1.6 - 1}}

0.0075 = {(1 - (\frac{1.6 - 1}{2}) \cdot 2)}^{2 \cdot \frac{1.6}{1.6 - 1}}

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Pressure Ratio having High Mach Number with Similarity Constant Solution

Follow our step by step solution on how to calculate Pressure Ratio having High Mach Number with Similarity Constant?

FIRST Step Consider the formula

r p = {(1 - (\frac{Y - 1}{2}) \cdot K)}^{2 \cdot \frac{Y}{Y - 1}}

Next Step Substitute values of Variables

∴

r p = {(1 - (\frac{1.6 - 1}{2}) \cdot 2rad)}^{2 \cdot \frac{1.6}{1.6 - 1}}

Next Step Prepare to Evaluate

∴

r p = {(1 - (\frac{1.6 - 1}{2}) \cdot 2)}^{2 \cdot \frac{1.6}{1.6 - 1}}

Next Step Evaluate

∴

r p = 0.0075448965092155

LAST Step Rounding Answer

∴

r p = 0.0075

Pressure Ratio having High Mach Number with Similarity Constant Formula Elements

Variables

Pressure Ratio

Pressure Ratio is ratio of final to initial pressure.

Symbol: r_p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Pressure Ratio

Specific Heat Ratio

The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Specific Heat Ratio

Hypersonic Similarity Parameter

Hypersonic Similarity Parameter, In the study of hypersonic flow over slender bodies, the product M1u is an important governing parameter, where, as before. It is to simplify the equations.

Symbol: K

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Hypersonic Similarity Parameter

Other Formulas to find Pressure Ratio

Go Pressure Ratio for High Mach Number

r p = {(\frac{M 1}{M 2})}^{2 \cdot \frac{Y}{Y - 1}}

Other formulas in Hypersonic Flow Parameters category

Go Axial Force Coefficient

μ = \frac{F}{q \cdot A}

Go Coefficient of Drag

C D = \frac{F D}{q \cdot A}

Go Coefficient of Pressure with Similarity Parameters

C p = 2 \cdot θ^{2} \cdot (\frac{Y + 1}{4} + \sqrt{{(\frac{Y + 1}{4})}^{2} + \frac{1}{K^{2}}})

Go Deflection Angle

θ d = \frac{2}{Y - 1} \cdot (\frac{1}{M 1} - \frac{1}{M 2})

How to Evaluate Pressure Ratio having High Mach Number with Similarity Constant?

Pressure Ratio having High Mach Number with Similarity Constant evaluator uses Pressure Ratio = (1-((Specific Heat Ratio-1)/2)*Hypersonic Similarity Parameter)^(2*Specific Heat Ratio/(Specific Heat Ratio-1)) to evaluate the Pressure Ratio, Pressure Ratio having High Mach Number with Similarity Constant formula is defined as a dimensionless quantity used in hypersonic flow to describe the relationship between the stagnation pressure and the free-stream pressure, providing valuable insights into the behavior of high-speed flows. Pressure Ratio is denoted by r_p symbol.

How to evaluate Pressure Ratio having High Mach Number with Similarity Constant using this online evaluator? To use this online evaluator for Pressure Ratio having High Mach Number with Similarity Constant, enter Specific Heat Ratio (Y) & Hypersonic Similarity Parameter (K) and hit the calculate button.

FAQs on Pressure Ratio having High Mach Number with Similarity Constant

What is the formula to find Pressure Ratio having High Mach Number with Similarity Constant?

The formula of Pressure Ratio having High Mach Number with Similarity Constant is expressed as Pressure Ratio = (1-((Specific Heat Ratio-1)/2)*Hypersonic Similarity Parameter)^(2*Specific Heat Ratio/(Specific Heat Ratio-1)). Here is an example- 0.007545 = (1-((1.6-1)/2)*2)^(2*1.6/(1.6-1)).

How to calculate Pressure Ratio having High Mach Number with Similarity Constant?

With Specific Heat Ratio (Y) & Hypersonic Similarity Parameter (K) we can find Pressure Ratio having High Mach Number with Similarity Constant using the formula - Pressure Ratio = (1-((Specific Heat Ratio-1)/2)*Hypersonic Similarity Parameter)^(2*Specific Heat Ratio/(Specific Heat Ratio-1)).

What are the other ways to Calculate Pressure Ratio?

Here are the different ways to Calculate Pressure Ratio-

Pressure Ratio=(Mach Number ahead of Shock/Mach Number Behind Shock)^(2*Specific Heat Ratio/(Specific Heat Ratio-1))

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Pressure Ratio having High Mach Number with Similarity Constant Formula

​GoPressure Ratio for High Mach Number Formula

Pressure Ratio having High Mach Number with Similarity Constant Example

Pressure Ratio having High Mach Number with Similarity Constant Solution

Pressure Ratio having High Mach Number with Similarity Constant Formula Elements

Other Formulas to find Pressure Ratio

Other formulas in Hypersonic Flow Parameters category

How to Evaluate Pressure Ratio having High Mach Number with Similarity Constant?

FAQs on Pressure Ratio having High Mach Number with Similarity Constant

Variable Name

GoPressure Ratio for High Mach Number Formula